F. PERCENTAGES or 1. Percents Used to show how many parts of a total are taken out. Short way of saying “by the hundred or hundredths part of the whole”. The symbol % is used to indicate percent. Often displayed as diagrams. 1/4 4/4 = 100% 25/100 = 25% 100 Equal Squares = 100% 25% or 25/100 or To change a decimal to a %, move decimal point two places to right and write percent sign. .15 = 15% .55 = 55% .853 = 85.3% 1.02 = 102% “Zeros may be needed to hold place”. .8 = 80%

Percents Practice Exercises Write as a decimal. 35% = _________ 14% = _________ 58.5% = _________ 17.45% = __________ 5% = _________ Write as a percent. .75 = ______% 0.40 = _____% 0.4 =_______% .4 = _______% .35 .14 .585 .1745 .05 75 40 40 40 Let's check our answers.

Rules For Any Equivalent To convert a number to its decimal equivalent, multiply by 0.01 Change 6 1/4% to its decimal equivalent. Change the mixed number to an improper fraction, then divide the numerator by the denominator. 6 1/4 = 25/4 = 6.25 Now multiply the answer (6.25) times 0.01 6 .25 x 0.01 = 0.0625 Rules For Finding Any Percent of Any Number Convert the percent into its decimal equivalent. Multiply the given number by this equivalent. Point off the same number of spaces in answer as in both numbers multiplied. Label answer with appropriate unit measure if applicable. Find 16% of 1028 square inches. 16 x .01 = .16 1028 x 0.16 = 164.48 Label answer: 164.48 square inches

2. Percentage Refers to value of any percent of a given number. First number is called “base”. Second number called “rate”... Refers to percent taken from base. Third number called “percentage”. Rule: The product of the base, times the rate, equals the percentage. Percentage = Base x Rate or P=BxR NOTE: Rate must always be in decimal form. To find the formula for a desired quantity, cover it and the remaining factors indicate the correct operation. Only three types of percent problems exist. R P B 1. Find the amount or rate. R=PxB 2. Find the percentage. P= R B 3. Find the base. B= R P

Percents Practice Exercises Determine the rate or amount for each problem A through E for the values given. BASE PERCENT- AGE 2400 lbs 1875 gallons 148 feet 3268.5 Square inches $ 875.00 A. B. C. D. E. 80% 45% 15% 4 1/2% 19.5% 1920 lbs. 843.75 Gal. 22.2 feet 147.08 sq.in. $170.63 The labor and material for renovating a building totaled $25,475. Of this amount, 70% went for labor and the balance for materials. Determine: (a) the labor cost, and (b) the material cost. $17,832.50 (labor) b. $ 7642.50 (materials) 35% of 82 = 4. 14% of 28 = Sales tax is 9%. Your purchase is $4.50. How much do you owe? You have 165 seconds to finish your task. At what point are you 70% finished? You make $14.00 per hour. You receive a 5% cost of living raise. How much raise per hour did you get? How much per hour are you making now? 28.7 4.32 $4.91 115.5 seconds $.70 /hr raise Making $14.70 /hr Let's check our answers.